Mary F. Wheeler

An Elliptic Collocation-Finite Element Method with Interior Penalties

A discontinuous collocation-finite element method with interior penalties is proposed and analyzed for elliptic equations. The integral orthogonalities are motivated by the interior penalty

A Priori

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-Galerkin procedure of Douglas and Dupont.

Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I

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A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems

error estimates for the continuous time and several discrete time Galerkin approximations to solutions of some second order nonlinear parabolic partial differential equations are derived. Both Neumann and Dirichlet boundary conditions are considered. The estimates obtained are the best possible in an

Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences

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Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics

sense.These error estimates are derived by relating the error for the nonlinear parabolic problem to known

A characteristics-mixed finite element method for advection-dominated transport problems

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Coupled fluid flow and geomechanical deformation modeling

error estimates for a linear elliptic problem. With additional restrictions on basis functions and region